Systems and methods for real-time detection and mitigation of power system oscillatory instability

1. A system for controlling a power system comprising: an automatic voltage regulator configured to transmit a pulse output voltage; a power system stabilizer in communication with the automatic voltage regulator; and a self-tuning computing device comprising at least one processor in communication with at least one memory device, wherein said at least one processor is programmed to: receive a plurality of sensor information of operation of a generator; detect an oscillation during operation of the generator from the plurality of sensor information; calculate a current damping ratio based on the plurality of sensor information including one or more vibration amplitudes; compare the current damping ratio to a user defined threshold range to make a determination whether the current damping ration is within a user defined range; in response to the determination that the current damping ratio is not within the user defined threshold range, convert the oscillation into the time domain; in response to the determination that the current damping ratio is not within the user defined threshold range, determine a gain and a time constant to counteract the oscillation based upon the time domain oscillation; and in response to the determination that the current damping ratio is not within the user defined threshold range, transmit, to the power system stabilizer, the gain and the time constant, wherein the power system stabilizer is configured to instruct the automatic voltage regulator to adjust its pulse output voltage based on the gain and the time constant.

2. The system in accordance with claim 1, wherein the plurality of sensor information is received at a first time, and wherein the at least one processor is further programmed to: receive a second plurality of sensor information at a subsequent time; detect a second oscillation during the operation of the generator from the second plurality of sensor information; determine an updated gain and an updated time constant to counteract the second oscillation; and transmit, to the power system stabilizer, the updated gain and the updated time constant, wherein the power system stabilizer is configured to instruct the automatic voltage regulator to re-adjust its pulse output voltage based on the updated gain and the updated time constant.

3. The system in accordance with claim 1, wherein the at least one processor is further programmed to in response to the determination that the current damping ratio is not within the user defined threshold range, increase the gain.

4. The system in accordance with claim 1, wherein the at least one processor is further programmed to determine a phase lead or a phase lag for the pulse output voltage of the automatic voltage regulator by comparing the oscillation to the pulse output voltage.

5. The system in accordance with claim 1, wherein the pulse output voltage is configured to counteract the oscillation.

6. The system in accordance with claim 5, wherein the at least one processor is further programmed to calculate the time constant to align the pulse output voltage with the oscillation.

7. The system in accordance with claim 1, wherein the plurality of sensor information includes a voltage of the generator, a current of the generator, a frequency of the generator, and a shaft speed of the generator.

8. A method for controlling a power system, the method performed by self-tuning computer system including at least one processor in communication with a power system stabilizer and at least one memory device, the method comprising: receiving a plurality of sensor information of operation of a generator; detecting an oscillation during operation of the generator from the plurality of sensor information; calculating a current damping ratio based on the plurality of sensor information including one or more vibration amplitudes; comparing the current damping ratio to a user defined threshold range to make a determination whether the current damping ration is within a user defined range; in response to the determination that the current damping ratio is not within the user defined threshold range, converting the oscillation into the time domain; in response to the determination that the current damping ratio is not within the user defined threshold range, determining a gain and a time constant to counteract the oscillation based upon the time domain oscillation; and in response to the determination that the current damping ratio is not within the user defined threshold range, transmitting, to the power system stabilizer, the gain and the time constant, wherein the power system stabilizer is configured to instruct an automatic voltage regulator to adjust its pulse output voltage based on the gain and the time constant.

9. The method in accordance with claim 8, wherein the plurality of sensor information is received at a first time, and wherein the method further comprises: receiving a second plurality of sensor information at a subsequent time; detecting a second oscillation during the operation of the generator from the second plurality of sensor information; determining an updated gain and an updated time constant to counteract the second oscillation; and transmitting, to the power system stabilizer, the updated gain and the updated time constant, wherein the power system stabilizer is configured to instruct the automatic voltage regulator to re-adjust its pulse output voltage based on the updated gain and the updated time constant.

10. The method in accordance with claim 8 further comprising in response to the determination that the current damping ratio is not within the user defined threshold range, increasing the gain.

11. The method in accordance with claim 8 further comprising determining a phase lead or a phase lag for the pulse output voltage of the automatic voltage regulator by comparing the oscillation to the pulse output voltage.

12. The method in accordance with claim 8, wherein the pulse output voltage is configured to counteract the oscillation.

13. The method in accordance with claim 12 further comprising calculating the time constant to align the pulse output voltage with the oscillation.

14. The method in accordance with claim 8, wherein the plurality of sensor information includes a voltage of the generator, a current of the generator, a frequency of the generator, and a shaft speed of the generator.

15. A computer device for controlling a power system comprising at least one processor in communication with at least one memory device and a power system stabilizer, wherein the at least one processor is programmed to: receive a plurality of sensor information of operation of a generator; detect an oscillation during operation of the generator from the plurality of sensor information; calculate a current damping ratio based on the plurality of sensor information including one or more vibration amplitudes; compare the current damping ratio to a user defined threshold range to make a determination whether the current damping ration is within a user defined range; in response to the determination that the current damping ratio is not within the user defined threshold range, convert the oscillation into the time domain; in response to the determination that the current damping ratio is not within the user defined threshold range, determine a gain and a time constant to counteract the oscillation based upon the time domain oscillation; and in response to the determination that the current damping ratio is not within the user defined threshold range, transmit, to the power system stabilizer, the gain and the time constant, wherein the power system stabilizer is configured to instruct an automatic voltage regulator to adjust its pulse output voltage based on the gain and the time constant.

16. The computer device in accordance with claim 15, wherein the plurality of sensor information is received at a first time, and wherein the at least one processor is further programmed to: receive a second plurality of sensor information at a subsequent time; detect a second oscillation during the operation of the generator from the second plurality of sensor information; determine an updated gain and an updated time constant to counteract the second oscillation; and transmit, to the power system stabilizer, the updated gain and the updated time constant, wherein the power system stabilizer is configured to instruct the automatic voltage regulator to re-adjust its pulse output voltage based on the updated gain and the updated time constant.

17. The computer device in accordance with claim 15, wherein the at least one processor is further programmed to: in response to the determination that the current damping ratio is not within the user defined threshold range, increase the gain.

18. The computer device in accordance with claim 15, wherein the pulse output voltage is configured to counteract the oscillation, and wherein the at least one processor is further programmed to calculate the time constant to align the pulse output voltage with the oscillation.

19. The system in accordance with claim 1, wherein the at least one processor is further programmed to in response to the determination that the current damping ratio is within the user defined threshold range, delay until additional sensor information is received.

20. The method in accordance with claim 8 further comprising in response to the determination that the current damping ratio is within the user defined threshold range, delaying until additional sensor information is received.